Question: 2. Consider the sequence f, : [0, co) - R defined by f,(x) = arctan(nx) for all ne N and x e [0, 1]. (a)

2. Consider the sequence f, : [0, co) - R defined

2. Consider the sequence f, : [0, co) - R defined by f,(x) = arctan(nx) for all ne N and x e [0, 1]. (a) Prove that (f "), converges pointwise on [0, co)

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